Question: 22. Refer to Problem 12.7. Table 12.33 shows the result of using SAS to conduct a two-way ANOVA, with both gender and race as predictors.

22. Refer to Problem 12.7. Table 12.33 shows the result of using SAS to conduct a two-way ANOVA, with both gender and race as predictors. The first panel of the table shows the result of the model with an interaction term, and the other three panels show results after dropping that term.

a) Test the hypothesis of no interaction. Report the F test statistic, the P-value, and in- terpret.

b) Test the hypothesis for the race main effect, controlling for gender. Report the F test statistic, the P-value, and interpret.

c) Test the hypothesis for the gender main effect, controlling for race Report the F test statistic, the P-valuc, and interpret

d) Construct a 95% confidence interval for the gender main effect, and interpret.

e) Defining dummy variables. explain how the tests in (a)-

(c) iclate to regression models.

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